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Finding the Fourth Proportional to 10,403.16, 14,353.02 and 7,261.08

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Solution

The fourth proportional to 10,403.16, 14,353.02 and 7,261.08 is: 10,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.16 : 14,353.02 = 7,261.08 : x
  2. Step 2: Convert to fraction form
    10,403.16/14,353.02 = 7,261.08/x
  3. Step 3: Cross multiply
    10,403.16x = 14,353.02 × 7,261.08
  4. Step 4: Simplify right side
    10,403.16x = 104,218,426.46
  5. Step 5: Solve for x
    x = 104,218,426.46/10,403.16
  6. Step 6: Final answer
    x = 10,017.96

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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.