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Finding the Fourth Proportional to 11,417.66, 15,756.48 and 6,702.02

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Solution

The fourth proportional to 11,417.66, 15,756.48 and 6,702.02 is: 9,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.66 : 15,756.48 = 6,702.02 : x
  2. Step 2: Convert to fraction form
    11,417.66/15,756.48 = 6,702.02/x
  3. Step 3: Cross multiply
    11,417.66x = 15,756.48 × 6,702.02
  4. Step 4: Simplify right side
    11,417.66x = 105,600,244.09
  5. Step 5: Solve for x
    x = 105,600,244.09/11,417.66
  6. Step 6: Final answer
    x = 9,248.85

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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.