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Finding the Fourth Proportional to 10,348.16, 15,526.02 and 6,455.84

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Solution

The fourth proportional to 10,348.16, 15,526.02 and 6,455.84 is: 9,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.16 : 15,526.02 = 6,455.84 : x
  2. Step 2: Convert to fraction form
    10,348.16/15,526.02 = 6,455.84/x
  3. Step 3: Cross multiply
    10,348.16x = 15,526.02 × 6,455.84
  4. Step 4: Simplify right side
    10,348.16x = 100,233,500.96
  5. Step 5: Solve for x
    x = 100,233,500.96/10,348.16
  6. Step 6: Final answer
    x = 9,686.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.