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Finding the Fourth Proportional to 5,009.86, 7,515.24 and 1,312.08

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Solution

The fourth proportional to 5,009.86, 7,515.24 and 1,312.08 is: 1,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.86 : 7,515.24 = 1,312.08 : x
  2. Step 2: Convert to fraction form
    5,009.86/7,515.24 = 1,312.08/x
  3. Step 3: Cross multiply
    5,009.86x = 7,515.24 × 1,312.08
  4. Step 4: Simplify right side
    5,009.86x = 9,860,596.10
  5. Step 5: Solve for x
    x = 9,860,596.10/5,009.86
  6. Step 6: Final answer
    x = 1,968.24

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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.