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Finding the Fourth Proportional to 10,155, 15,218.55 and 5,714.81

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Solution

The fourth proportional to 10,155, 15,218.55 and 5,714.81 is: 8,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155 : 15,218.55 = 5,714.81 : x
  2. Step 2: Convert to fraction form
    10,155/15,218.55 = 5,714.81/x
  3. Step 3: Cross multiply
    10,155x = 15,218.55 × 5,714.81
  4. Step 4: Simplify right side
    10,155x = 86,971,045.63
  5. Step 5: Solve for x
    x = 86,971,045.63/10,155
  6. Step 6: Final answer
    x = 8,564.36

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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.