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Finding the Fourth Proportional to 11,447.64, 15,798.36 and 6,970.68

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Solution

The fourth proportional to 11,447.64, 15,798.36 and 6,970.68 is: 9,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.64 : 15,798.36 = 6,970.68 : x
  2. Step 2: Convert to fraction form
    11,447.64/15,798.36 = 6,970.68/x
  3. Step 3: Cross multiply
    11,447.64x = 15,798.36 × 6,970.68
  4. Step 4: Simplify right side
    11,447.64x = 110,125,312.08
  5. Step 5: Solve for x
    x = 110,125,312.08/11,447.64
  6. Step 6: Final answer
    x = 9,619.91

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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.