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Finding the Fourth Proportional to 10,041.48, 13,852.58 and 6,505.88

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Solution

The fourth proportional to 10,041.48, 13,852.58 and 6,505.88 is: 8,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.48 : 13,852.58 = 6,505.88 : x
  2. Step 2: Convert to fraction form
    10,041.48/13,852.58 = 6,505.88/x
  3. Step 3: Cross multiply
    10,041.48x = 13,852.58 × 6,505.88
  4. Step 4: Simplify right side
    10,041.48x = 90,123,223.17
  5. Step 5: Solve for x
    x = 90,123,223.17/10,041.48
  6. Step 6: Final answer
    x = 8,975.09

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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.