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Finding the Fourth Proportional to 10,237.79, 14,133.49 and 6,898.16

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Solution

The fourth proportional to 10,237.79, 14,133.49 and 6,898.16 is: 9,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.79 : 14,133.49 = 6,898.16 : x
  2. Step 2: Convert to fraction form
    10,237.79/14,133.49 = 6,898.16/x
  3. Step 3: Cross multiply
    10,237.79x = 14,133.49 × 6,898.16
  4. Step 4: Simplify right side
    10,237.79x = 97,495,093.47
  5. Step 5: Solve for x
    x = 97,495,093.47/10,237.79
  6. Step 6: Final answer
    x = 9,523.06

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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.