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Finding the Fourth Proportional to 10,805.60, 16,094.76 and 10,300

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Solution

The fourth proportional to 10,805.60, 16,094.76 and 10,300 is: 15,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.60 : 16,094.76 = 10,300 : x
  2. Step 2: Convert to fraction form
    10,805.60/16,094.76 = 10,300/x
  3. Step 3: Cross multiply
    10,805.60x = 16,094.76 × 10,300
  4. Step 4: Simplify right side
    10,805.60x = 165,776,028
  5. Step 5: Solve for x
    x = 165,776,028/10,805.60
  6. Step 6: Final answer
    x = 15,341.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.