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Finding the Fourth Proportional to 10,300.74, 15,449.06 and 6,085.58

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Solution

The fourth proportional to 10,300.74, 15,449.06 and 6,085.58 is: 9,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.74 : 15,449.06 = 6,085.58 : x
  2. Step 2: Convert to fraction form
    10,300.74/15,449.06 = 6,085.58/x
  3. Step 3: Cross multiply
    10,300.74x = 15,449.06 × 6,085.58
  4. Step 4: Simplify right side
    10,300.74x = 94,016,490.55
  5. Step 5: Solve for x
    x = 94,016,490.55/10,300.74
  6. Step 6: Final answer
    x = 9,127.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.