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Finding the Fourth Proportional to 11,518.84, 15,895.92 and 6,482.80

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Solution

The fourth proportional to 11,518.84, 15,895.92 and 6,482.80 is: 8,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.84 : 15,895.92 = 6,482.80 : x
  2. Step 2: Convert to fraction form
    11,518.84/15,895.92 = 6,482.80/x
  3. Step 3: Cross multiply
    11,518.84x = 15,895.92 × 6,482.80
  4. Step 4: Simplify right side
    11,518.84x = 103,050,070.18
  5. Step 5: Solve for x
    x = 103,050,070.18/11,518.84
  6. Step 6: Final answer
    x = 8,946.22

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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.