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Finding the Fourth Proportional to 10,561.46, 14,578.06 and 6,088.19

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Solution

The fourth proportional to 10,561.46, 14,578.06 and 6,088.19 is: 8,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.46 : 14,578.06 = 6,088.19 : x
  2. Step 2: Convert to fraction form
    10,561.46/14,578.06 = 6,088.19/x
  3. Step 3: Cross multiply
    10,561.46x = 14,578.06 × 6,088.19
  4. Step 4: Simplify right side
    10,561.46x = 88,754,020.34
  5. Step 5: Solve for x
    x = 88,754,020.34/10,561.46
  6. Step 6: Final answer
    x = 8,403.58

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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.