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Finding the Fourth Proportional to 10,615.84, 14,624.54 and 7,423.16

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Solution

The fourth proportional to 10,615.84, 14,624.54 and 7,423.16 is: 10,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.84 : 14,624.54 = 7,423.16 : x
  2. Step 2: Convert to fraction form
    10,615.84/14,624.54 = 7,423.16/x
  3. Step 3: Cross multiply
    10,615.84x = 14,624.54 × 7,423.16
  4. Step 4: Simplify right side
    10,615.84x = 108,560,300.35
  5. Step 5: Solve for x
    x = 108,560,300.35/10,615.84
  6. Step 6: Final answer
    x = 10,226.26

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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.