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Finding the Fourth Proportional to 11,339.64, 15,648.40 and 6,303.74

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Solution

The fourth proportional to 11,339.64, 15,648.40 and 6,303.74 is: 8,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.64 : 15,648.40 = 6,303.74 : x
  2. Step 2: Convert to fraction form
    11,339.64/15,648.40 = 6,303.74/x
  3. Step 3: Cross multiply
    11,339.64x = 15,648.40 × 6,303.74
  4. Step 4: Simplify right side
    11,339.64x = 98,643,445.02
  5. Step 5: Solve for x
    x = 98,643,445.02/11,339.64
  6. Step 6: Final answer
    x = 8,698.99

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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.