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Finding the Fourth Proportional to 10,300.74, 14,215.02 and 5,585.04

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Solution

The fourth proportional to 10,300.74, 14,215.02 and 5,585.04 is: 7,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.74 : 14,215.02 = 5,585.04 : x
  2. Step 2: Convert to fraction form
    10,300.74/14,215.02 = 5,585.04/x
  3. Step 3: Cross multiply
    10,300.74x = 14,215.02 × 5,585.04
  4. Step 4: Simplify right side
    10,300.74x = 79,391,455.30
  5. Step 5: Solve for x
    x = 79,391,455.30/10,300.74
  6. Step 6: Final answer
    x = 7,707.35

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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.