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Finding the Fourth Proportional to 10,710.51, 16,065.15 and 2,813.01

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Solution

The fourth proportional to 10,710.51, 16,065.15 and 2,813.01 is: 4,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.51 : 16,065.15 = 2,813.01 : x
  2. Step 2: Convert to fraction form
    10,710.51/16,065.15 = 2,813.01/x
  3. Step 3: Cross multiply
    10,710.51x = 16,065.15 × 2,813.01
  4. Step 4: Simplify right side
    10,710.51x = 45,191,427.60
  5. Step 5: Solve for x
    x = 45,191,427.60/10,710.51
  6. Step 6: Final answer
    x = 4,219.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.