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Finding the Fourth Proportional to 7,875.84, 11,790.88 and 4,578.88

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Solution

The fourth proportional to 7,875.84, 11,790.88 and 4,578.88 is: 6,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.84 : 11,790.88 = 4,578.88 : x
  2. Step 2: Convert to fraction form
    7,875.84/11,790.88 = 4,578.88/x
  3. Step 3: Cross multiply
    7,875.84x = 11,790.88 × 4,578.88
  4. Step 4: Simplify right side
    7,875.84x = 53,989,024.61
  5. Step 5: Solve for x
    x = 53,989,024.61/7,875.84
  6. Step 6: Final answer
    x = 6,855.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.