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Finding the Fourth Proportional to 10,652.19, 15,977.07 and 9,088.49

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Solution

The fourth proportional to 10,652.19, 15,977.07 and 9,088.49 is: 13,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.19 : 15,977.07 = 9,088.49 : x
  2. Step 2: Convert to fraction form
    10,652.19/15,977.07 = 9,088.49/x
  3. Step 3: Cross multiply
    10,652.19x = 15,977.07 × 9,088.49
  4. Step 4: Simplify right side
    10,652.19x = 145,207,361.04
  5. Step 5: Solve for x
    x = 145,207,361.04/10,652.19
  6. Step 6: Final answer
    x = 13,631.69

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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.