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Finding the Fourth Proportional to 10,583.10, 14,616.18 and 7,061.22

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Solution

The fourth proportional to 10,583.10, 14,616.18 and 7,061.22 is: 9,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.10 : 14,616.18 = 7,061.22 : x
  2. Step 2: Convert to fraction form
    10,583.10/14,616.18 = 7,061.22/x
  3. Step 3: Cross multiply
    10,583.10x = 14,616.18 × 7,061.22
  4. Step 4: Simplify right side
    10,583.10x = 103,208,062.54
  5. Step 5: Solve for x
    x = 103,208,062.54/10,583.10
  6. Step 6: Final answer
    x = 9,752.16

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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.