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Finding the Fourth Proportional to 11,341.81, 15,652.10 and 6,307.46

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Solution

The fourth proportional to 11,341.81, 15,652.10 and 6,307.46 is: 8,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.81 : 15,652.10 = 6,307.46 : x
  2. Step 2: Convert to fraction form
    11,341.81/15,652.10 = 6,307.46/x
  3. Step 3: Cross multiply
    11,341.81x = 15,652.10 × 6,307.46
  4. Step 4: Simplify right side
    11,341.81x = 98,724,994.67
  5. Step 5: Solve for x
    x = 98,724,994.67/11,341.81
  6. Step 6: Final answer
    x = 8,704.52

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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.