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Finding the Fourth Proportional to 10,084.05, 13,903.40 and 8,570.16

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Solution

The fourth proportional to 10,084.05, 13,903.40 and 8,570.16 is: 11,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.05 : 13,903.40 = 8,570.16 : x
  2. Step 2: Convert to fraction form
    10,084.05/13,903.40 = 8,570.16/x
  3. Step 3: Cross multiply
    10,084.05x = 13,903.40 × 8,570.16
  4. Step 4: Simplify right side
    10,084.05x = 119,154,319.69
  5. Step 5: Solve for x
    x = 119,154,319.69/10,084.05
  6. Step 6: Final answer
    x = 11,816.12

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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.