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Finding the Fourth Proportional to 10,513.62, 14,509.47 and 5,797.92

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Solution

The fourth proportional to 10,513.62, 14,509.47 and 5,797.92 is: 8,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.62 : 14,509.47 = 5,797.92 : x
  2. Step 2: Convert to fraction form
    10,513.62/14,509.47 = 5,797.92/x
  3. Step 3: Cross multiply
    10,513.62x = 14,509.47 × 5,797.92
  4. Step 4: Simplify right side
    10,513.62x = 84,124,746.30
  5. Step 5: Solve for x
    x = 84,124,746.30/10,513.62
  6. Step 6: Final answer
    x = 8,001.50

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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.