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Finding the Fourth Proportional to 11,527.60, 15,907.50 and 6,492.64

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Solution

The fourth proportional to 11,527.60, 15,907.50 and 6,492.64 is: 8,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.60 : 15,907.50 = 6,492.64 : x
  2. Step 2: Convert to fraction form
    11,527.60/15,907.50 = 6,492.64/x
  3. Step 3: Cross multiply
    11,527.60x = 15,907.50 × 6,492.64
  4. Step 4: Simplify right side
    11,527.60x = 103,281,670.80
  5. Step 5: Solve for x
    x = 103,281,670.80/11,527.60
  6. Step 6: Final answer
    x = 8,959.51

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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.