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Finding the Fourth Proportional to 10,507.80, 14,503.74 and 7,364.76

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Solution

The fourth proportional to 10,507.80, 14,503.74 and 7,364.76 is: 10,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.80 : 14,503.74 = 7,364.76 : x
  2. Step 2: Convert to fraction form
    10,507.80/14,503.74 = 7,364.76/x
  3. Step 3: Cross multiply
    10,507.80x = 14,503.74 × 7,364.76
  4. Step 4: Simplify right side
    10,507.80x = 106,816,564.20
  5. Step 5: Solve for x
    x = 106,816,564.20/10,507.80
  6. Step 6: Final answer
    x = 10,165.45

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