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Finding the Fourth Proportional to 10,043.40, 13,851.16 and 7,531.16

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Solution

The fourth proportional to 10,043.40, 13,851.16 and 7,531.16 is: 10,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.40 : 13,851.16 = 7,531.16 : x
  2. Step 2: Convert to fraction form
    10,043.40/13,851.16 = 7,531.16/x
  3. Step 3: Cross multiply
    10,043.40x = 13,851.16 × 7,531.16
  4. Step 4: Simplify right side
    10,043.40x = 104,315,302.15
  5. Step 5: Solve for x
    x = 104,315,302.15/10,043.40
  6. Step 6: Final answer
    x = 10,386.45

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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.