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Finding the Fourth Proportional to 10,435.35, 15,653.06 and 3,040

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Solution

The fourth proportional to 10,435.35, 15,653.06 and 3,040 is: 4,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.35 : 15,653.06 = 3,040 : x
  2. Step 2: Convert to fraction form
    10,435.35/15,653.06 = 3,040/x
  3. Step 3: Cross multiply
    10,435.35x = 15,653.06 × 3,040
  4. Step 4: Simplify right side
    10,435.35x = 47,585,302.40
  5. Step 5: Solve for x
    x = 47,585,302.40/10,435.35
  6. Step 6: Final answer
    x = 4,560.01

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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.