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Finding the Fourth Proportional to 10,219.96, 15,303.71 and 6,699.57

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Solution

The fourth proportional to 10,219.96, 15,303.71 and 6,699.57 is: 10,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.96 : 15,303.71 = 6,699.57 : x
  2. Step 2: Convert to fraction form
    10,219.96/15,303.71 = 6,699.57/x
  3. Step 3: Cross multiply
    10,219.96x = 15,303.71 × 6,699.57
  4. Step 4: Simplify right side
    10,219.96x = 102,528,276.40
  5. Step 5: Solve for x
    x = 102,528,276.40/10,219.96
  6. Step 6: Final answer
    x = 10,032.16

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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.