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Finding the Fourth Proportional to 11,875.61, 16,385.79 and 7,159.79

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Solution

The fourth proportional to 11,875.61, 16,385.79 and 7,159.79 is: 9,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.61 : 16,385.79 = 7,159.79 : x
  2. Step 2: Convert to fraction form
    11,875.61/16,385.79 = 7,159.79/x
  3. Step 3: Cross multiply
    11,875.61x = 16,385.79 × 7,159.79
  4. Step 4: Simplify right side
    11,875.61x = 117,318,883.20
  5. Step 5: Solve for x
    x = 117,318,883.20/11,875.61
  6. Step 6: Final answer
    x = 9,878.98

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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.