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Finding the Fourth Proportional to 10,806.31, 14,925.13 and 7,215.02

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Solution

The fourth proportional to 10,806.31, 14,925.13 and 7,215.02 is: 9,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.31 : 14,925.13 = 7,215.02 : x
  2. Step 2: Convert to fraction form
    10,806.31/14,925.13 = 7,215.02/x
  3. Step 3: Cross multiply
    10,806.31x = 14,925.13 × 7,215.02
  4. Step 4: Simplify right side
    10,806.31x = 107,685,111.45
  5. Step 5: Solve for x
    x = 107,685,111.45/10,806.31
  6. Step 6: Final answer
    x = 9,965.02

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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.