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Finding the Fourth Proportional to 10,870.60, 15,003.62 and 7,094.38

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Solution

The fourth proportional to 10,870.60, 15,003.62 and 7,094.38 is: 9,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.60 : 15,003.62 = 7,094.38 : x
  2. Step 2: Convert to fraction form
    10,870.60/15,003.62 = 7,094.38/x
  3. Step 3: Cross multiply
    10,870.60x = 15,003.62 × 7,094.38
  4. Step 4: Simplify right side
    10,870.60x = 106,441,381.66
  5. Step 5: Solve for x
    x = 106,441,381.66/10,870.60
  6. Step 6: Final answer
    x = 9,791.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.