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Finding the Fourth Proportional to 10,088.40, 13,916.76 and 5,894.22

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Solution

The fourth proportional to 10,088.40, 13,916.76 and 5,894.22 is: 8,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.40 : 13,916.76 = 5,894.22 : x
  2. Step 2: Convert to fraction form
    10,088.40/13,916.76 = 5,894.22/x
  3. Step 3: Cross multiply
    10,088.40x = 13,916.76 × 5,894.22
  4. Step 4: Simplify right side
    10,088.40x = 82,028,445.13
  5. Step 5: Solve for x
    x = 82,028,445.13/10,088.40
  6. Step 6: Final answer
    x = 8,130.97

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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.