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Finding the Fourth Proportional to 8,417.34, 11,615.76 and 5,275.26

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Solution

The fourth proportional to 8,417.34, 11,615.76 and 5,275.26 is: 7,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.34 : 11,615.76 = 5,275.26 : x
  2. Step 2: Convert to fraction form
    8,417.34/11,615.76 = 5,275.26/x
  3. Step 3: Cross multiply
    8,417.34x = 11,615.76 × 5,275.26
  4. Step 4: Simplify right side
    8,417.34x = 61,276,154.10
  5. Step 5: Solve for x
    x = 61,276,154.10/8,417.34
  6. Step 6: Final answer
    x = 7,279.75

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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.