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Finding the Fourth Proportional to 10,513.67, 14,508.95 and 5,798.12

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Solution

The fourth proportional to 10,513.67, 14,508.95 and 5,798.12 is: 8,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.67 : 14,508.95 = 5,798.12 : x
  2. Step 2: Convert to fraction form
    10,513.67/14,508.95 = 5,798.12/x
  3. Step 3: Cross multiply
    10,513.67x = 14,508.95 × 5,798.12
  4. Step 4: Simplify right side
    10,513.67x = 84,124,531.64
  5. Step 5: Solve for x
    x = 84,124,531.64/10,513.67
  6. Step 6: Final answer
    x = 8,001.45

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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.