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Finding the Fourth Proportional to 10,588.78, 15,877.09 and 4,010.77

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Solution

The fourth proportional to 10,588.78, 15,877.09 and 4,010.77 is: 6,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.78 : 15,877.09 = 4,010.77 : x
  2. Step 2: Convert to fraction form
    10,588.78/15,877.09 = 4,010.77/x
  3. Step 3: Cross multiply
    10,588.78x = 15,877.09 × 4,010.77
  4. Step 4: Simplify right side
    10,588.78x = 63,679,356.26
  5. Step 5: Solve for x
    x = 63,679,356.26/10,588.78
  6. Step 6: Final answer
    x = 6,013.85

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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.