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Finding the Fourth Proportional to 11,306.48, 15,613.08 and 7,334

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Solution

The fourth proportional to 11,306.48, 15,613.08 and 7,334 is: 10,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.48 : 15,613.08 = 7,334 : x
  2. Step 2: Convert to fraction form
    11,306.48/15,613.08 = 7,334/x
  3. Step 3: Cross multiply
    11,306.48x = 15,613.08 × 7,334
  4. Step 4: Simplify right side
    11,306.48x = 114,506,328.72
  5. Step 5: Solve for x
    x = 114,506,328.72/11,306.48
  6. Step 6: Final answer
    x = 10,127.50

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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.