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Finding the Fourth Proportional to 7,004.34, 10,506.72 and 1,810.23

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Solution

The fourth proportional to 7,004.34, 10,506.72 and 1,810.23 is: 2,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.34 : 10,506.72 = 1,810.23 : x
  2. Step 2: Convert to fraction form
    7,004.34/10,506.72 = 1,810.23/x
  3. Step 3: Cross multiply
    7,004.34x = 10,506.72 × 1,810.23
  4. Step 4: Simplify right side
    7,004.34x = 19,019,579.75
  5. Step 5: Solve for x
    x = 19,019,579.75/7,004.34
  6. Step 6: Final answer
    x = 2,715.40

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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.