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Finding the Fourth Proportional to 10,038.16, 13,857.48 and 7,056.55

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Solution

The fourth proportional to 10,038.16, 13,857.48 and 7,056.55 is: 9,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.16 : 13,857.48 = 7,056.55 : x
  2. Step 2: Convert to fraction form
    10,038.16/13,857.48 = 7,056.55/x
  3. Step 3: Cross multiply
    10,038.16x = 13,857.48 × 7,056.55
  4. Step 4: Simplify right side
    10,038.16x = 97,786,000.49
  5. Step 5: Solve for x
    x = 97,786,000.49/10,038.16
  6. Step 6: Final answer
    x = 9,741.43

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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.