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Finding the Fourth Proportional to 8,509.19, 11,740.88 and 5,152.01

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Solution

The fourth proportional to 8,509.19, 11,740.88 and 5,152.01 is: 7,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.19 : 11,740.88 = 5,152.01 : x
  2. Step 2: Convert to fraction form
    8,509.19/11,740.88 = 5,152.01/x
  3. Step 3: Cross multiply
    8,509.19x = 11,740.88 × 5,152.01
  4. Step 4: Simplify right side
    8,509.19x = 60,489,085.34
  5. Step 5: Solve for x
    x = 60,489,085.34/8,509.19
  6. Step 6: Final answer
    x = 7,108.68

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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.