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Finding the Fourth Proportional to 10,429.60, 15,653.51 and 6,041.02

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Solution

The fourth proportional to 10,429.60, 15,653.51 and 6,041.02 is: 9,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.60 : 15,653.51 = 6,041.02 : x
  2. Step 2: Convert to fraction form
    10,429.60/15,653.51 = 6,041.02/x
  3. Step 3: Cross multiply
    10,429.60x = 15,653.51 × 6,041.02
  4. Step 4: Simplify right side
    10,429.60x = 94,563,058.51
  5. Step 5: Solve for x
    x = 94,563,058.51/10,429.60
  6. Step 6: Final answer
    x = 9,066.80

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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.