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Finding the Fourth Proportional to 8,897.34, 12,278.54 and 5,759.00

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Solution

The fourth proportional to 8,897.34, 12,278.54 and 5,759.00 is: 7,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.34 : 12,278.54 = 5,759.00 : x
  2. Step 2: Convert to fraction form
    8,897.34/12,278.54 = 5,759.00/x
  3. Step 3: Cross multiply
    8,897.34x = 12,278.54 × 5,759.00
  4. Step 4: Simplify right side
    8,897.34x = 70,712,078.51
  5. Step 5: Solve for x
    x = 70,712,078.51/8,897.34
  6. Step 6: Final answer
    x = 7,947.55

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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.