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Finding the Fourth Proportional to 10,009.60, 14,978.40 and 7,417.60

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Solution

The fourth proportional to 10,009.60, 14,978.40 and 7,417.60 is: 11,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.60 : 14,978.40 = 7,417.60 : x
  2. Step 2: Convert to fraction form
    10,009.60/14,978.40 = 7,417.60/x
  3. Step 3: Cross multiply
    10,009.60x = 14,978.40 × 7,417.60
  4. Step 4: Simplify right side
    10,009.60x = 111,103,779.84
  5. Step 5: Solve for x
    x = 111,103,779.84/10,009.60
  6. Step 6: Final answer
    x = 11,099.72

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