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Finding the Fourth Proportional to 8,035.76, 11,089.47 and 4,402.13

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Solution

The fourth proportional to 8,035.76, 11,089.47 and 4,402.13 is: 6,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.76 : 11,089.47 = 4,402.13 : x
  2. Step 2: Convert to fraction form
    8,035.76/11,089.47 = 4,402.13/x
  3. Step 3: Cross multiply
    8,035.76x = 11,089.47 × 4,402.13
  4. Step 4: Simplify right side
    8,035.76x = 48,817,233.12
  5. Step 5: Solve for x
    x = 48,817,233.12/8,035.76
  6. Step 6: Final answer
    x = 6,075.00

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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.