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Finding the Fourth Proportional to 10,530.77, 15,715.56 and 9,407.58

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Solution

The fourth proportional to 10,530.77, 15,715.56 and 9,407.58 is: 14,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.77 : 15,715.56 = 9,407.58 : x
  2. Step 2: Convert to fraction form
    10,530.77/15,715.56 = 9,407.58/x
  3. Step 3: Cross multiply
    10,530.77x = 15,715.56 × 9,407.58
  4. Step 4: Simplify right side
    10,530.77x = 147,845,387.94
  5. Step 5: Solve for x
    x = 147,845,387.94/10,530.77
  6. Step 6: Final answer
    x = 14,039.37

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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.