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Finding the Fourth Proportional to 10,403.90, 15,525.76 and 8,314.10

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Solution

The fourth proportional to 10,403.90, 15,525.76 and 8,314.10 is: 12,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.90 : 15,525.76 = 8,314.10 : x
  2. Step 2: Convert to fraction form
    10,403.90/15,525.76 = 8,314.10/x
  3. Step 3: Cross multiply
    10,403.90x = 15,525.76 × 8,314.10
  4. Step 4: Simplify right side
    10,403.90x = 129,082,721.22
  5. Step 5: Solve for x
    x = 129,082,721.22/10,403.90
  6. Step 6: Final answer
    x = 12,407.15

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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.